We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
The structure of subspaces in Orlicz spaces lying between L1 and L2.
- Authors
Astashkin, Sergey V.
- Abstract
A subspace H of a rearrangement invariant space X on [0, 1] is strongly embedded in X if, in H, convergence in the X-norm is equivalent to convergence in measure. We obtain necessary and sufficient conditions on an Orlicz function M, under which the unit ball of an arbitrary strongly embedded subspace in the Orlicz space L M has equi-absolutely continuous norms in L M . In particular, this extends a well-known Rosenthal’s characterization of Λ (p) -spaces, 1 < p < 2 , to the realm of Orlicz spaces.
- Subjects
ORLICZ spaces; COMMERCIAL space ventures; UNIT ball (Mathematics); SUBSPACES (Mathematics); INVARIANT subspaces
- Publication
Mathematische Zeitschrift, 2023, Vol 303, Issue 4, p1
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-023-03255-0